xref: /petsc/include/petscmat.h (revision 8a3d98258ef5a366d67ab5300d0f4900bd88e985)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #pragma once
5 
6 #include <petscvec.h>
7 
8 /* SUBMANSEC = Mat */
9 
10 /*S
11    Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
12          an explicit sparse representation (such as matrix-free operators). Also used to hold representations of graphs
13          for graph operations such as coloring, `MatColoringCreate()`
14 
15    Level: beginner
16 
17    Note:
18    See [](doc_matrix), [](ch_matrices) and `MatType` for available matrix types
19 
20 .seealso: [](doc_matrix), [](ch_matrices), `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
21 S*/
22 typedef struct _p_Mat *Mat;
23 
24 /*J
25    MatType - String with the name of a PETSc matrix type
26 
27    Level: beginner
28 
29    Note:
30    [](doc_matrix) for a table of available matrix types
31 
32 .seealso: [](doc_matrix), [](ch_matrices), `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
33 J*/
34 typedef const char *MatType;
35 #define MATSAME                      "same"
36 #define MATMAIJ                      "maij"
37 #define MATSEQMAIJ                   "seqmaij"
38 #define MATMPIMAIJ                   "mpimaij"
39 #define MATKAIJ                      "kaij"
40 #define MATSEQKAIJ                   "seqkaij"
41 #define MATMPIKAIJ                   "mpikaij"
42 #define MATIS                        "is"
43 #define MATAIJ                       "aij"
44 #define MATSEQAIJ                    "seqaij"
45 #define MATMPIAIJ                    "mpiaij"
46 #define MATAIJCRL                    "aijcrl"
47 #define MATSEQAIJCRL                 "seqaijcrl"
48 #define MATMPIAIJCRL                 "mpiaijcrl"
49 #define MATAIJCUSPARSE               "aijcusparse"
50 #define MATSEQAIJCUSPARSE            "seqaijcusparse"
51 #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
52 #define MATAIJHIPSPARSE              "aijhipsparse"
53 #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
54 #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
55 #define MATAIJKOKKOS                 "aijkokkos"
56 #define MATSEQAIJKOKKOS              "seqaijkokkos"
57 #define MATMPIAIJKOKKOS              "mpiaijkokkos"
58 #define MATAIJVIENNACL               "aijviennacl"
59 #define MATSEQAIJVIENNACL            "seqaijviennacl"
60 #define MATMPIAIJVIENNACL            "mpiaijviennacl"
61 #define MATAIJPERM                   "aijperm"
62 #define MATSEQAIJPERM                "seqaijperm"
63 #define MATMPIAIJPERM                "mpiaijperm"
64 #define MATAIJSELL                   "aijsell"
65 #define MATSEQAIJSELL                "seqaijsell"
66 #define MATMPIAIJSELL                "mpiaijsell"
67 #define MATAIJMKL                    "aijmkl"
68 #define MATSEQAIJMKL                 "seqaijmkl"
69 #define MATMPIAIJMKL                 "mpiaijmkl"
70 #define MATBAIJMKL                   "baijmkl"
71 #define MATSEQBAIJMKL                "seqbaijmkl"
72 #define MATMPIBAIJMKL                "mpibaijmkl"
73 #define MATSHELL                     "shell"
74 #define MATCENTERING                 "centering"
75 #define MATDENSE                     "dense"
76 #define MATDENSECUDA                 "densecuda"
77 #define MATDENSEHIP                  "densehip"
78 #define MATSEQDENSE                  "seqdense"
79 #define MATSEQDENSECUDA              "seqdensecuda"
80 #define MATSEQDENSEHIP               "seqdensehip"
81 #define MATMPIDENSE                  "mpidense"
82 #define MATMPIDENSECUDA              "mpidensecuda"
83 #define MATMPIDENSEHIP               "mpidensehip"
84 #define MATELEMENTAL                 "elemental"
85 #define MATSCALAPACK                 "scalapack"
86 #define MATBAIJ                      "baij"
87 #define MATSEQBAIJ                   "seqbaij"
88 #define MATMPIBAIJ                   "mpibaij"
89 #define MATMPIADJ                    "mpiadj"
90 #define MATSBAIJ                     "sbaij"
91 #define MATSEQSBAIJ                  "seqsbaij"
92 #define MATMPISBAIJ                  "mpisbaij"
93 #define MATMFFD                      "mffd"
94 #define MATNORMAL                    "normal"
95 #define MATNORMALHERMITIAN           "normalh"
96 #define MATLRC                       "lrc"
97 #define MATSCATTER                   "scatter"
98 #define MATBLOCKMAT                  "blockmat"
99 #define MATCOMPOSITE                 "composite"
100 #define MATFFT                       "fft"
101 #define MATFFTW                      "fftw"
102 #define MATSEQCUFFT                  "seqcufft"
103 #define MATSEQHIPFFT                 "seqhipfft"
104 #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO(3, 18, 0, "MATTRANSPOSEVIRTUAL", ) "transpose"
105 #define MATTRANSPOSEVIRTUAL          "transpose"
106 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
107 #define MATSCHURCOMPLEMENT           "schurcomplement"
108 #define MATPYTHON                    "python"
109 #define MATHYPRE                     "hypre"
110 #define MATHYPRESTRUCT               "hyprestruct"
111 #define MATHYPRESSTRUCT              "hypresstruct"
112 #define MATSUBMATRIX                 "submatrix"
113 #define MATLOCALREF                  "localref"
114 #define MATNEST                      "nest"
115 #define MATPREALLOCATOR              "preallocator"
116 #define MATSELL                      "sell"
117 #define MATSEQSELL                   "seqsell"
118 #define MATMPISELL                   "mpisell"
119 #define MATSELLCUDA                  "sellcuda"
120 #define MATSEQSELLCUDA               "seqsellcuda"
121 #define MATMPISELLCUDA               "mpisellcuda"
122 #define MATDUMMY                     "dummy"
123 #define MATLMVM                      "lmvm"
124 #define MATLMVMDFP                   "lmvmdfp"
125 #define MATLMVMBFGS                  "lmvmbfgs"
126 #define MATLMVMSR1                   "lmvmsr1"
127 #define MATLMVMBROYDEN               "lmvmbroyden"
128 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
129 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
130 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
131 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
132 #define MATCONSTANTDIAGONAL          "constantdiagonal"
133 #define MATDIAGONAL                  "diagonal"
134 #define MATHTOOL                     "htool"
135 #define MATH2OPUS                    "h2opus"
136 
137 /*J
138    MatSolverType - String with the name of a PETSc factorization-based matrix solver type.
139 
140    For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
141 
142    Level: beginner
143 
144    Note:
145    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
146    a ./configure option to install them
147 
148 .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
149 J*/
150 typedef const char *MatSolverType;
151 #define MATSOLVERSUPERLU      "superlu"
152 #define MATSOLVERSUPERLU_DIST "superlu_dist"
153 #define MATSOLVERSTRUMPACK    "strumpack"
154 #define MATSOLVERUMFPACK      "umfpack"
155 #define MATSOLVERCHOLMOD      "cholmod"
156 #define MATSOLVERKLU          "klu"
157 #define MATSOLVERELEMENTAL    "elemental"
158 #define MATSOLVERSCALAPACK    "scalapack"
159 #define MATSOLVERESSL         "essl"
160 #define MATSOLVERLUSOL        "lusol"
161 #define MATSOLVERMUMPS        "mumps"
162 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
163 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
164 #define MATSOLVERPASTIX       "pastix"
165 #define MATSOLVERMATLAB       "matlab"
166 #define MATSOLVERPETSC        "petsc"
167 #define MATSOLVERBAS          "bas"
168 #define MATSOLVERCUSPARSE     "cusparse"
169 #define MATSOLVERCUDA         "cuda"
170 #define MATSOLVERHIPSPARSE    "hipsparse"
171 #define MATSOLVERHIP          "hip"
172 #define MATSOLVERKOKKOS       "kokkos"
173 #define MATSOLVERSPQR         "spqr"
174 
175 /*E
176     MatFactorType - indicates what type of factorization is requested
177 
178     Values:
179 +  `MAT_FACTOR_LU`       - LU factorization
180 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
181 .  `MAT_FACTOR_ILU`      - ILU factorization
182 .  `MAT_FACTOR_ICC`      - incomplete Cholesky factorization
183 .  `MAT_FACTOR_ILUDT`    - ILU factorization with drop tolerance
184 -  `MAT_FACTOR_QR`       - QR factorization
185 
186     Level: beginner
187 
188 .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
189 E*/
190 typedef enum {
191   MAT_FACTOR_NONE,
192   MAT_FACTOR_LU,
193   MAT_FACTOR_CHOLESKY,
194   MAT_FACTOR_ILU,
195   MAT_FACTOR_ICC,
196   MAT_FACTOR_ILUDT,
197   MAT_FACTOR_QR,
198   MAT_FACTOR_NUM_TYPES
199 } MatFactorType;
200 PETSC_EXTERN const char *const MatFactorTypes[];
201 
202 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
203 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
204 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
205 PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
206 {
207   return MatFactorGetCanUseOrdering(A, b);
208 }
209 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
210 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
211 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
212 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
213 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
214 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
215 typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
216 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
217 {
218   return MatSolverTypeRegister(stype, mtype, ftype, f);
219 }
220 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFunction *f)
221 {
222   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
223 }
224 
225 /*E
226     MatProductType - indicates what type of matrix product to compute
227 
228     Values:
229 +  `MATPRODUCT_AB`   - product of two matrices
230 .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
231 .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
232 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
233 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
234 -  `MATPRODUCT_ABC`  - the product of three matrices
235 
236     Level: beginner
237 
238 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
239 E*/
240 typedef enum {
241   MATPRODUCT_UNSPECIFIED = 0,
242   MATPRODUCT_AB,
243   MATPRODUCT_AtB,
244   MATPRODUCT_ABt,
245   MATPRODUCT_PtAP,
246   MATPRODUCT_RARt,
247   MATPRODUCT_ABC
248 } MatProductType;
249 PETSC_EXTERN const char *const MatProductTypes[];
250 
251 /*J
252     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
253 
254    Level: beginner
255 
256 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
257 J*/
258 typedef const char *MatProductAlgorithm;
259 #define MATPRODUCTALGORITHMDEFAULT         "default"
260 #define MATPRODUCTALGORITHMSORTED          "sorted"
261 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
262 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
263 #define MATPRODUCTALGORITHMHEAP            "heap"
264 #define MATPRODUCTALGORITHMBHEAP           "btheap"
265 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
266 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
267 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
268 #define MATPRODUCTALGORITHMATB             "at*b"
269 #define MATPRODUCTALGORITHMRAP             "rap"
270 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
271 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
272 #define MATPRODUCTALGORITHMBACKEND         "backend"
273 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
274 #define MATPRODUCTALGORITHMMERGED          "merged"
275 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
276 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
277 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
278 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
279 #if defined(PETSC_HAVE_HYPRE)
280   #define MATPRODUCTALGORITHMHYPRE "hypre"
281 #endif
282 
283 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
284 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
285 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
286 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
287 PETSC_EXTERN PetscErrorCode MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
288 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
289 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
290 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
291 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
292 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
293 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
294 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
295 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
296 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
297 
298 /* Logging support */
299 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
300 PETSC_EXTERN PetscClassId MAT_CLASSID;
301 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
302 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
303 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
304 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
305 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
306 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
307 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
308 
309 /*E
310    MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
311    are to be reused to store the new matrix values.
312 
313    Values:
314 +  `MAT_INITIAL_MATRIX` - create a new matrix
315 .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
316 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
317 -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
318 
319     Level: beginner
320 
321 .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
322 E*/
323 typedef enum {
324   MAT_INITIAL_MATRIX,
325   MAT_REUSE_MATRIX,
326   MAT_IGNORE_MATRIX,
327   MAT_INPLACE_MATRIX
328 } MatReuse;
329 
330 /*E
331     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
332     include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
333 
334     Values:
335 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
336 -  `MAT_GET_VALUES`        - copy the matrix values
337 
338     Level: developer
339 
340     Developer Note:
341     Why is not just a boolean used for this information?
342 
343 .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
344 E*/
345 typedef enum {
346   MAT_DO_NOT_GET_VALUES,
347   MAT_GET_VALUES
348 } MatCreateSubMatrixOption;
349 
350 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
351 PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);
352 
353 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
354 PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
355 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
356 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
357 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
358 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
359 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
360 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
361 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
362 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
363 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
364 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
365 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
366 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
367 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
368 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
369 
370 PETSC_EXTERN PetscFunctionList MatList;
371 PETSC_EXTERN PetscFunctionList MatColoringList;
372 PETSC_EXTERN PetscFunctionList MatPartitioningList;
373 
374 /*E
375    MatStructure - Indicates if two matrices have the same nonzero structure
376 
377    Values:
378 +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
379 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
380 .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
381 -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
382                                  may try to detect a relationship to optimize the operation
383 
384    Level: beginner
385 
386    Note:
387    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
388    the patterns are the same may be costly. This provides a way for users who know something about the sparsity patterns to provide this information
389    to certain PETSc routines.
390 
391 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
392 E*/
393 typedef enum {
394   DIFFERENT_NONZERO_PATTERN,
395   SUBSET_NONZERO_PATTERN,
396   SAME_NONZERO_PATTERN,
397   UNKNOWN_NONZERO_PATTERN
398 } MatStructure;
399 PETSC_EXTERN const char *const MatStructures[];
400 
401 #if defined                 PETSC_HAVE_MKL_SPARSE
402 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
403 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
404 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
405 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
406 #endif
407 
408 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
409 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
410 
411 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
414 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
415 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
416 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
417 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
418 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
419 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
420 
421 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
422 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
423 PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
424 PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);
425 
426 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
427 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
428 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
429 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
430 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
431 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
432 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
433 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
434 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
435 
436 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
439 
440 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
441 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
442 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
443 
444 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
445 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
446 
447 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
448 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
449 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
450 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
451 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
452 
453 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
454 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
455 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
456 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
457 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
458 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
459 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
460 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
461 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
462 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
463 
464 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
465 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
466 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
467 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
468 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
469 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
470 typedef enum {
471   MAT_COMPOSITE_MERGE_RIGHT,
472   MAT_COMPOSITE_MERGE_LEFT
473 } MatCompositeMergeType;
474 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
475 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
476 /*E
477     MatCompositeType - indicates what type of `MATCOMPOSITE` is used
478 
479     Values:
480 +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
481 -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices
482 
483     Level: beginner
484 
485 .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
486 E*/
487 typedef enum {
488   MAT_COMPOSITE_ADDITIVE,
489   MAT_COMPOSITE_MULTIPLICATIVE
490 } MatCompositeType;
491 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
492 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
493 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
494 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
495 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
496 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
497 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
498 
499 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
500 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
501 
502 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
503 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
504 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
505 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
506 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
507 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
508 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
509 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
510 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
511 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
512 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
513 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
514 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
515 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
516 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
517 
518 #if defined(PETSC_HAVE_HYPRE)
519 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
520 #endif
521 
522 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
523 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
524 
525 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
526 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
527 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
528 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
529 
530 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
531 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
532 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
533 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
534 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
535 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
536 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
537 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
538 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
539 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
540 
541 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
542 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
543 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
544 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
545 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
546 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
547 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
548 
549 /*S
550    MatStencil - Data structure (C struct) for storing information about rows and
551    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
552 
553    Level: beginner
554 
555    Notes:
556    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
557    The c represents the the degrees of freedom at each grid point (the dof argument to `DMDASetDOF()`). If dof is 1 then this entry is ignored.
558 
559    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
560 
561    For staggered grids, see `DMStagStencil`
562 
563    Fortran Note:
564    See `MatSetValuesStencil()` for details.
565 
566 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`,
567           `DMStagStencil`
568 S*/
569 typedef struct {
570   PetscInt k, j, i, c;
571 } MatStencil;
572 
573 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
574 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
575 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
576 
577 /*E
578     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
579 
580     Values:
581 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
582 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
583 
584     Level: beginner
585 
586 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
587 E*/
588 typedef enum {
589   MAT_FLUSH_ASSEMBLY = 1,
590   MAT_FINAL_ASSEMBLY = 0
591 } MatAssemblyType;
592 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
593 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
594 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
595 
596 /*E
597    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
598 
599    Level: beginner
600 
601    Note:
602    See `MatSetOption()` for the use of the options
603 
604    Developer Note:
605    Entries that are negative need not be called collectively by all processes.
606 
607 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
608 E*/
609 typedef enum {
610   MAT_OPTION_MIN                  = -3,
611   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
612   MAT_ROW_ORIENTED                = -1,
613   MAT_SYMMETRIC                   = 1,
614   MAT_STRUCTURALLY_SYMMETRIC      = 2,
615   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
616   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
617   MAT_USE_HASH_TABLE              = 5,
618   MAT_KEEP_NONZERO_PATTERN        = 6,
619   MAT_IGNORE_ZERO_ENTRIES         = 7,
620   MAT_USE_INODES                  = 8,
621   MAT_HERMITIAN                   = 9,
622   MAT_SYMMETRY_ETERNAL            = 10,
623   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
624   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
625   MAT_ERROR_LOWER_TRIANGULAR      = 13,
626   MAT_GETROW_UPPERTRIANGULAR      = 14,
627   MAT_SPD                         = 15,
628   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
629   MAT_NO_OFF_PROC_ENTRIES         = 17,
630   MAT_NEW_NONZERO_LOCATIONS       = 18,
631   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
632   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
633   MAT_SUBMAT_SINGLEIS             = 21,
634   MAT_STRUCTURE_ONLY              = 22,
635   MAT_SORTED_FULL                 = 23,
636   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
637   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
638   MAT_SPD_ETERNAL                 = 26,
639   MAT_OPTION_MAX                  = 27
640 } MatOption;
641 
642 PETSC_EXTERN const char *const *MatOptions;
643 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
644 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
645 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
646 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
647 
648 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
649 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
650 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
651 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
652 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
653 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
654 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
655 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
656 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
657 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
658 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
659 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
660 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
661 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
662 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
663 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
664 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
665 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
666 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
667 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
668 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
669 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
670 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
671 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
672 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
673 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
674 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
675 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
676 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
677 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
678 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
679 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
680 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
681 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
682 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
683 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
684 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
685 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
686 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
687 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
688 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
689 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
690 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
691 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
692 
693 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
694 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
695 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
696 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
697 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
698 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
699 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
700 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
701 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
702 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
703 
704 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
705 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
706 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
707 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
708 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
709 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
710 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
711 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
712 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
713 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
714 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
715 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
716 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
717 
718 /*E
719   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
720   its numerical values copied over or just its nonzero structure.
721 
722   Values:
723 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
724                                 with zeros for the numerical values
725 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
726                                 and with the same numerical values.
727 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
728                                 and does not copy it, using zeros for the numerical values. The parent and
729                                 child matrices will share their index (i and j) arrays, and you cannot
730                                 insert new nonzero entries into either matrix
731 
732   Level: beginner
733 
734   Note:
735   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
736   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
737 
738 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
739 E*/
740 typedef enum {
741   MAT_DO_NOT_COPY_VALUES,
742   MAT_COPY_VALUES,
743   MAT_SHARE_NONZERO_PATTERN
744 } MatDuplicateOption;
745 
746 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
747 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
748 
749 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
750 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
751 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
752 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
753 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
754 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
755 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
756 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
757 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
758 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
759 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
760 
761 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
762 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
763 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
764 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
765 
766 /*S
767    MatInfo - Context of matrix information, used with `MatGetInfo()`
768 
769    Level: intermediate
770 
771    Fortran Note:
772    Information is stored as a double-precision array of dimension `MAT_INFO_SIZE`
773 
774 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
775 S*/
776 typedef struct {
777   PetscLogDouble block_size;                          /* block size */
778   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
779   PetscLogDouble memory;                              /* memory allocated */
780   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
781   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
782   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
783   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
784 } MatInfo;
785 
786 /*E
787     MatInfoType - Indicates if you want information about the local part of the matrix,
788     the entire parallel matrix or the maximum over all the local parts.
789 
790     Values:
791 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
792 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
793 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
794 
795     Level: beginner
796 
797 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
798 E*/
799 typedef enum {
800   MAT_LOCAL      = 1,
801   MAT_GLOBAL_MAX = 2,
802   MAT_GLOBAL_SUM = 3
803 } MatInfoType;
804 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
805 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
806 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
807 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
808 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
809 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
810 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
811 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
812 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
813 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
814 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
815 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
816 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
817 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
818 
819 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
820 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
821 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
822 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
823 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
824 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
825 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
826 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
827 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
828 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
829 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
830 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
831 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
832 
833 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
834 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
835 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
836 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
837 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
838 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
839 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
840 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
841 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
842 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
843 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
844 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
845 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
846 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
847 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
848 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
849 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
850 
851 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
852 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
853 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
854 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
855 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
856 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
857 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
858 
859 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
860 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrices()", ) static inline PetscErrorCode MatGetSubMatrices(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
861 {
862   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
863 }
864 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
865 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatricesMPI()", ) static inline PetscErrorCode MatGetSubMatricesMPI(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
866 {
867   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
868 }
869 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
870 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
871 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
872 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
873 {
874   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
875 }
876 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
877 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
878 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
879 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
880 
881 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
882 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
883 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
884 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
885 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
886 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
887 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
888 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
889 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
890 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
891 
892 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
893 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
894 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
895 
896 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
897 
898 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
899 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
900 
901 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
902 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
903 
904 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
905 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
906 
907 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
908 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
909 
910 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
911 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
912 
913 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
914 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
915 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
916 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
917 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
918 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
919 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
920 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
921 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
922 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
923 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
924 
925 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
926 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
927 
928 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
929 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
930 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
931 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
932 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
933 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
934 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
935 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
936 {
937   return MatCreateVecs(mat, x, y);
938 }
939 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
940 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
941 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
942 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
943 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
944 
945 /*@C
946    MatSetValue - Set a single entry into a matrix.
947 
948    Not Collective
949 
950    Input Parameters:
951 +  mat  - the matrix
952 .  i    - the row location of the entry
953 .  j    - the column location of the entry
954 .  va   - the value to insert
955 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
956 
957    Level: beginner
958 
959    Notes:
960    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
961    MUST be called after all calls to `MatSetValue()` have been completed.
962 
963    For efficiency one should use `MatSetValues()` and set several values simultaneously.
964 
965 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
966           `MatSetValueLocal()`, `MatSetValuesLocal()`
967 @*/
968 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
969 {
970   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
971 }
972 
973 /*@C
974    MatGetValue - Gets a single value from a matrix
975 
976    Not Collective; can only return a value owned by the given process
977 
978    Input Parameters:
979 +  mat - the matrix
980 .  row - the row location of the entry
981 -  col - the column location of the entry
982 
983    Output Parameter:
984 .  va - the value
985 
986    Level: advanced
987 
988    Notes:
989    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
990 
991    For efficiency one should use `MatGetValues()` and get several values simultaneously.
992 
993    See notes for `MatGetValues()`.
994 
995 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
996 @*/
997 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
998 {
999   return MatGetValues(mat, 1, &row, 1, &col, va);
1000 }
1001 
1002 /*@C
1003    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
1004 
1005    Not Collective
1006 
1007    Input Parameters:
1008 +  mat  - the matrix
1009 .  i    - the row location of the entry
1010 .  j    - the column location of the entry
1011 .  va   - the value to insert
1012 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1013 
1014    Level: intermediate
1015 
1016    Notes:
1017    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1018 
1019    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1020 
1021 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1022 @*/
1023 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1024 {
1025   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1026 }
1027 
1028 /*MC
1029    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1030    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1031 
1032    Synopsis:
1033    #include <petscmat.h>
1034    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1035 
1036    Collective
1037 
1038    Input Parameters:
1039 +  comm  - the communicator that will share the eventually allocated matrix
1040 .  nrows - the number of LOCAL rows in the matrix
1041 -  ncols - the number of LOCAL columns in the matrix
1042 
1043    Output Parameters:
1044 +  dnz - the array that will be passed to the matrix preallocation routines
1045 -  onz - the other array passed to the matrix preallocation routines
1046 
1047    Level: deprecated (since v3.19)
1048 
1049    Notes:
1050    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1051    the use of this routine
1052 
1053    This is a macro that handles its own error checking, it does not return an error code.
1054 
1055    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1056 
1057    Developer Note:
1058    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1059 
1060 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1061           `MatPreallocateSymmetricSetLocalBlock()`
1062 M*/
1063 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1064   do { \
1065     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1066     PetscInt PETSC_UNUSED __start; \
1067     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1068     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1069     __start = __end - __ncols; \
1070     (void)__start; \
1071     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1072   __rstart -= __nrows
1073 
1074 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1075 
1076 /*MC
1077    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1078    inserted using a local number of the rows and columns
1079 
1080    Synopsis:
1081    #include <petscmat.h>
1082    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1083 
1084    Not Collective
1085 
1086    Input Parameters:
1087 +  map   - the row mapping from local numbering to global numbering
1088 .  nrows - the number of rows indicated
1089 .  rows  - the indices of the rows
1090 .  cmap  - the column mapping from local to global numbering
1091 .  ncols - the number of columns in the matrix
1092 .  cols  - the columns indicated
1093 .  dnz   - the array that will be passed to the matrix preallocation routines
1094 -  onz   - the other array passed to the matrix preallocation routines
1095 
1096    Level: deprecated (since v3.19)
1097 
1098    Notes:
1099    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1100    the use of this routine
1101 
1102    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1103 
1104 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1105           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1106 M*/
1107 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1108   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1109 
1110 /*MC
1111    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1112    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1113 
1114    Synopsis:
1115    #include <petscmat.h>
1116    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1117 
1118    Not Collective
1119 
1120    Input Parameters:
1121 +  map   - the row mapping from local numbering to global numbering
1122 .  nrows - the number of rows indicated
1123 .  rows  - the indices of the rows (these values are mapped to the global values)
1124 .  cmap  - the column mapping from local to global numbering
1125 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1126 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1127 .  dnz   - the array that will be passed to the matrix preallocation routines
1128 -  onz   - the other array passed to the matrix preallocation routines
1129 
1130    Level: deprecated (since v3.19)
1131 
1132    Notes:
1133    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1134    the use of this routine
1135 
1136    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1137 
1138 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1139           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1140 M*/
1141 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1142   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); PetscCall(PetscSortRemoveDupsInt(&ncols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1143 
1144 /*MC
1145    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1146    inserted using a local number of the rows and columns
1147 
1148    Synopsis:
1149    #include <petscmat.h>
1150    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1151 
1152    Not Collective
1153 
1154    Input Parameters:
1155 +  map   - the row mapping from local numbering to global numbering
1156 .  nrows - the number of rows indicated
1157 .  rows  - the indices of the rows
1158 .  cmap  - the column mapping from local to global numbering
1159 .  ncols - the number of columns in the matrix
1160 .  cols  - the columns indicated
1161 .  dnz   - the array that will be passed to the matrix preallocation routines
1162 -  onz   - the other array passed to the matrix preallocation routines
1163 
1164    Level: deprecated (since v3.19)
1165 
1166    Notes:
1167    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1168    the use of this routine
1169 
1170    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1171 
1172 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1173           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1174 M*/
1175 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1176   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApplyBlock(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1177 
1178 /*MC
1179    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1180    inserted using a local number of the rows and columns
1181 
1182    Synopsis:
1183    #include <petscmat.h>
1184    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1185 
1186    Not Collective
1187 
1188    Input Parameters:
1189 +  map   - the mapping between local numbering and global numbering
1190 .  nrows - the number of rows indicated
1191 .  rows  - the indices of the rows
1192 .  ncols - the number of columns in the matrix
1193 .  cols  - the columns indicated
1194 .  dnz   - the array that will be passed to the matrix preallocation routines
1195 -  onz   - the other array passed to the matrix preallocation routines
1196 
1197    Level: deprecated (since v3.19)
1198 
1199    Notes:
1200    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1201    the use of this routine
1202 
1203    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1204 
1205 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1206           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1207 M*/
1208 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1209   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApplyBlock(map, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(map, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l], ncols, cols, dnz, onz));)
1210 
1211 /*MC
1212    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1213    inserted using a local number of the rows and columns
1214 
1215    Synopsis:
1216    #include <petscmat.h>
1217    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1218 
1219    Not Collective
1220 
1221    Input Parameters:
1222 +  row   - the row
1223 .  ncols - the number of columns in the matrix
1224 -  cols  - the columns indicated
1225 
1226    Output Parameters:
1227 +  dnz - the array that will be passed to the matrix preallocation routines
1228 -  onz - the other array passed to the matrix preallocation routines
1229 
1230    Level: deprecated (since v3.19)
1231 
1232    Notes:
1233    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1234    the use of this routine
1235 
1236    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1237 
1238    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1239 
1240 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1241           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1242 M*/
1243 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1244   PetscMacroReturnStandard(PetscCheck(row >= __rstart, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Trying to set preallocation for row %" PetscInt_FMT " less than first local row %" PetscInt_FMT, row, __rstart); PetscCheck(row < __rstart + __nrows, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Trying to set preallocation for row %" PetscInt_FMT " greater than last local row %" PetscInt_FMT, row, __rstart + __nrows - 1); for (PetscInt __i = 0; __i < nc; ++__i) { \
1245     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1246     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1247   })
1248 
1249 /*MC
1250    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1251    inserted using a local number of the rows and columns
1252 
1253    Synopsis:
1254    #include <petscmat.h>
1255    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1256 
1257    Not Collective
1258 
1259    Input Parameters:
1260 +  nrows - the number of rows indicated
1261 .  rows  - the indices of the rows
1262 .  ncols - the number of columns in the matrix
1263 .  cols  - the columns indicated
1264 .  dnz   - the array that will be passed to the matrix preallocation routines
1265 -  onz   - the other array passed to the matrix preallocation routines
1266 
1267    Level: deprecated (since v3.19)
1268 
1269    Notes:
1270    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1271    the use of this routine
1272 
1273    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1274 
1275    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1276 
1277 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1278           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1279 M*/
1280 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1281   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1282     if (cols[__i] >= __end) onz[row - __rstart]++; \
1283     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1284   })
1285 
1286 /*MC
1287    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1288 
1289    Synopsis:
1290    #include <petscmat.h>
1291    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1292 
1293    Not Collective
1294 
1295    Input Parameters:
1296 +  A     - matrix
1297 .  row   - row where values exist (must be local to this process)
1298 .  ncols - number of columns
1299 .  cols  - columns with nonzeros
1300 .  dnz   - the array that will be passed to the matrix preallocation routines
1301 -  onz   - the other array passed to the matrix preallocation routines
1302 
1303    Level: deprecated (since v3.19)
1304 
1305    Notes:
1306    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1307    the use of this routine
1308 
1309    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1310 
1311    Developer Note:
1312    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1313 
1314 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1315           `MatPreallocateSymmetricSetLocalBlock()`
1316 M*/
1317 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1318 
1319 /*MC
1320    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1321    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1322 
1323    Synopsis:
1324    #include <petscmat.h>
1325    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1326 
1327    Collective
1328 
1329    Input Parameters:
1330 +  dnz - the array that was be passed to the matrix preallocation routines
1331 -  onz - the other array passed to the matrix preallocation routines
1332 
1333    Level: deprecated (since v3.19)
1334 
1335    Notes:
1336    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1337    the use of this routine
1338 
1339    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1340 
1341    Developer Note:
1342    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1343 
1344 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1345           `MatPreallocateSymmetricSetLocalBlock()`
1346 M*/
1347 #define MatPreallocateEnd(dnz, onz) \
1348   PetscCall(PetscFree2(dnz, onz)); \
1349   } \
1350   while (0)
1351 
1352 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1353 
1354 /* Routines unique to particular data structures */
1355 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1356 
1357 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1358 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1359 
1360 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1361 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1362 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1363 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1364 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1365 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1366 
1367 #define MAT_SKIP_ALLOCATION -4
1368 
1369 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1370 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1371 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1372 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1373 
1374 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1375 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1376 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1377 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1378 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1379 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1380 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1381 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1382 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1383 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1384 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1385 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1386 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1387 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1388 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1389 
1390 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1391 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1392 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1393 {
1394   return MatDenseSetLDA(A, lda);
1395 }
1396 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1397 
1398 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1399 
1400 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1401 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1402 
1403 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1404 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1405 /*
1406   These routines are not usually accessed directly, rather solving is
1407   done through the KSP and PC interfaces.
1408 */
1409 
1410 /*J
1411    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1412    to reduce fill in sparse factorizations.
1413 
1414    Level: beginner
1415 
1416    Notes:
1417    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1418    of its own.
1419 
1420    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1421 
1422    Developer Note:
1423    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1424 
1425 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1426           `PCFactorSetOrderingType()`
1427 J*/
1428 typedef const char *MatOrderingType;
1429 #define MATORDERINGNATURAL       "natural"
1430 #define MATORDERINGND            "nd"
1431 #define MATORDERING1WD           "1wd"
1432 #define MATORDERINGRCM           "rcm"
1433 #define MATORDERINGQMD           "qmd"
1434 #define MATORDERINGROWLENGTH     "rowlength"
1435 #define MATORDERINGWBM           "wbm"
1436 #define MATORDERINGSPECTRAL      "spectral"
1437 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1438 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1439 #define MATORDERINGNATURAL_OR_ND "natural_or_nd" /* special coase used for Cholesky and ICC, allows ND when AIJ matrix is used but Natural when SBAIJ is used */
1440 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1441 
1442 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1443 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1444 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1445 PETSC_EXTERN PetscFunctionList MatOrderingList;
1446 
1447 #include "petscmatcoarsen.h"
1448 
1449 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1450 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1451 
1452 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1453 
1454 /*S
1455    MatFactorShiftType - Type of numeric shift used for factorizations
1456 
1457    Values:
1458 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1459 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1460 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1461 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1462 
1463    Level: intermediate
1464 
1465 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1466 S*/
1467 typedef enum {
1468   MAT_SHIFT_NONE,
1469   MAT_SHIFT_NONZERO,
1470   MAT_SHIFT_POSITIVE_DEFINITE,
1471   MAT_SHIFT_INBLOCKS
1472 } MatFactorShiftType;
1473 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1474 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1475 
1476 /*S
1477     MatFactorError - indicates what type of error was generated in a matrix factorization
1478 
1479     Values:
1480 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1481 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1482 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1483 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1484 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1485 
1486     Level: intermediate
1487 
1488     Note:
1489     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1490 
1491 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1492           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1493 S*/
1494 typedef enum {
1495   MAT_FACTOR_NOERROR,
1496   MAT_FACTOR_STRUCT_ZEROPIVOT,
1497   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1498   MAT_FACTOR_OUTMEMORY,
1499   MAT_FACTOR_OTHER
1500 } MatFactorError;
1501 
1502 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1503 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1504 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1505 
1506 /*S
1507    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1508 
1509    Level: developer
1510 
1511    Note:
1512    You can use `MatFactorInfoInitialize()` to set default values.
1513 
1514    Fortran Note:
1515    The data is available in a double precision arrays of size `MAT_FACTORINFO_SIZE`
1516 
1517 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1518           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1519 S*/
1520 typedef struct {
1521   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1522   PetscReal usedt;
1523   PetscReal dt;            /* drop tolerance */
1524   PetscReal dtcol;         /* tolerance for pivoting */
1525   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1526   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1527   PetscReal levels;        /* ICC/ILU(levels) */
1528   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1529                                    factorization may be faster if do not pivot */
1530   PetscReal zeropivot;     /* pivot is called zero if less than this */
1531   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1532   PetscReal shiftamount;   /* how large the shift is */
1533 } MatFactorInfo;
1534 
1535 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1536 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1537 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1538 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1539 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1540 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1541 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1542 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1543 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1544 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1545 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1546 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1547 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1548 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1549 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1550 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1551 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1552 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1553 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1554 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1555 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1556 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1557 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1558 
1559 typedef enum {
1560   MAT_FACTOR_SCHUR_UNFACTORED,
1561   MAT_FACTOR_SCHUR_FACTORED,
1562   MAT_FACTOR_SCHUR_INVERTED
1563 } MatFactorSchurStatus;
1564 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1565 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1566 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1567 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1568 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1569 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1570 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1571 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1572 
1573 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1574 /*E
1575    MatSORType - What type of (S)SOR to perform
1576 
1577    Values:
1578 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1579 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1580 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1581 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1582 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1583 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1584 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1585 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1586 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1587 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1588 
1589    Level: beginner
1590 
1591    Note:
1592    These may be bitwise ORd together
1593 
1594    Developer Note:
1595    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1596 
1597 .seealso: [](ch_matrices), `MatSOR()`
1598 E*/
1599 typedef enum {
1600   SOR_FORWARD_SWEEP         = 1,
1601   SOR_BACKWARD_SWEEP        = 2,
1602   SOR_SYMMETRIC_SWEEP       = 3,
1603   SOR_LOCAL_FORWARD_SWEEP   = 4,
1604   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1605   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1606   SOR_ZERO_INITIAL_GUESS    = 16,
1607   SOR_EISENSTAT             = 32,
1608   SOR_APPLY_UPPER           = 64,
1609   SOR_APPLY_LOWER           = 128
1610 } MatSORType;
1611 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1612 
1613 /*S
1614    MatColoring - Object for managing the coloring of matrices.
1615 
1616    Level: beginner
1617 
1618    Notes:
1619    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1620    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1621 
1622    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1623    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1624 
1625 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1626           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1627           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1628 S*/
1629 typedef struct _p_MatColoring *MatColoring;
1630 
1631 /*J
1632    MatColoringType - String with the name of a PETSc matrix coloring
1633 
1634    Level: beginner
1635 
1636 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1637 J*/
1638 typedef const char *MatColoringType;
1639 #define MATCOLORINGJP      "jp"
1640 #define MATCOLORINGPOWER   "power"
1641 #define MATCOLORINGNATURAL "natural"
1642 #define MATCOLORINGSL      "sl"
1643 #define MATCOLORINGLF      "lf"
1644 #define MATCOLORINGID      "id"
1645 #define MATCOLORINGGREEDY  "greedy"
1646 
1647 /*E
1648    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1649 
1650    Values:
1651 +  `MAT_COLORING_RANDOM`  - Random weights
1652 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1653 -  `MAT_COLORING_LF`      - Last-first weighting.
1654 
1655     Level: intermediate
1656 
1657 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1658 E*/
1659 typedef enum {
1660   MAT_COLORING_WEIGHT_RANDOM,
1661   MAT_COLORING_WEIGHT_LEXICAL,
1662   MAT_COLORING_WEIGHT_LF,
1663   MAT_COLORING_WEIGHT_SL
1664 } MatColoringWeightType;
1665 
1666 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1667 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1668 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1669 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1670 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1671 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1672 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1673 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1674 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1675 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1676 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1677 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1678 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1679 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1680 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1681 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1682 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1683 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1684 {
1685   return MatColoringTest(matcoloring, iscoloring);
1686 }
1687 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1688 
1689 /*S
1690    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1691 
1692    Level: beginner
1693 
1694    Notes:
1695    This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1696 
1697    The `SNES` option `-snes_fd_coloring` will cause the Jacobian needed by `SNES` to be computed via a use of this object
1698 
1699 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1700 S*/
1701 typedef struct _p_MatFDColoring *MatFDColoring;
1702 
1703 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1704 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1705 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1706 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1707 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1708 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1709 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1710 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1711 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1712 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1713 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1714 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1715 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1716 
1717 /*S
1718    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1719 
1720    Level: developer
1721 
1722 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1723 S*/
1724 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1725 
1726 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1727 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1728 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1729 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1730 
1731 /*S
1732    MatPartitioning - Object for managing the partitioning of a matrix or graph
1733 
1734    Level: beginner
1735 
1736    Note:
1737    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1738    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1739 
1740    Developer Note:
1741    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1742 
1743 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1744           `MatCoarsenType`, `MatCoarsenType`
1745 S*/
1746 typedef struct _p_MatPartitioning *MatPartitioning;
1747 
1748 /*J
1749     MatPartitioningType - String with the name of a PETSc matrix partitioning
1750 
1751    Level: beginner
1752 dm
1753 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1754           `MatCoarsenType`, `MatCoarsenType`
1755 J*/
1756 typedef const char *MatPartitioningType;
1757 #define MATPARTITIONINGCURRENT  "current"
1758 #define MATPARTITIONINGAVERAGE  "average"
1759 #define MATPARTITIONINGSQUARE   "square"
1760 #define MATPARTITIONINGPARMETIS "parmetis"
1761 #define MATPARTITIONINGCHACO    "chaco"
1762 #define MATPARTITIONINGPARTY    "party"
1763 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1764 #define MATPARTITIONINGHIERARCH "hierarch"
1765 
1766 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1767 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1768 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1769 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1770 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1771 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1772 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1773 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1774 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1775 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1776 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1777 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1778 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1779 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1780 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1781 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1782 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1783 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1784 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1785 
1786 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1787 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1788 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1789 
1790 typedef enum {
1791   MP_CHACO_MULTILEVEL = 1,
1792   MP_CHACO_SPECTRAL   = 2,
1793   MP_CHACO_LINEAR     = 4,
1794   MP_CHACO_RANDOM     = 5,
1795   MP_CHACO_SCATTERED  = 6
1796 } MPChacoGlobalType;
1797 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1798 typedef enum {
1799   MP_CHACO_KERNIGHAN = 1,
1800   MP_CHACO_NONE      = 2
1801 } MPChacoLocalType;
1802 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1803 typedef enum {
1804   MP_CHACO_LANCZOS = 0,
1805   MP_CHACO_RQI     = 1
1806 } MPChacoEigenType;
1807 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1808 
1809 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1810 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1811 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1812 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1813 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1814 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1815 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1816 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1817 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1818 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1819 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1820 
1821 #define MP_PARTY_OPT "opt"
1822 #define MP_PARTY_LIN "lin"
1823 #define MP_PARTY_SCA "sca"
1824 #define MP_PARTY_RAN "ran"
1825 #define MP_PARTY_GBF "gbf"
1826 #define MP_PARTY_GCF "gcf"
1827 #define MP_PARTY_BUB "bub"
1828 #define MP_PARTY_DEF "def"
1829 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1830 #define MP_PARTY_HELPFUL_SETS  "hs"
1831 #define MP_PARTY_KERNIGHAN_LIN "kl"
1832 #define MP_PARTY_NONE          "no"
1833 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1834 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1835 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1836 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1837 
1838 typedef enum {
1839   MP_PTSCOTCH_DEFAULT,
1840   MP_PTSCOTCH_QUALITY,
1841   MP_PTSCOTCH_SPEED,
1842   MP_PTSCOTCH_BALANCE,
1843   MP_PTSCOTCH_SAFETY,
1844   MP_PTSCOTCH_SCALABILITY
1845 } MPPTScotchStrategyType;
1846 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1847 
1848 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1849 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1850 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1851 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1852 
1853 /*
1854  * hierarchical partitioning
1855  */
1856 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1857 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1858 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1859 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1860 
1861 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1862 
1863 /*
1864     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1865     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1866 */
1867 typedef enum {
1868   MATOP_SET_VALUES               = 0,
1869   MATOP_GET_ROW                  = 1,
1870   MATOP_RESTORE_ROW              = 2,
1871   MATOP_MULT                     = 3,
1872   MATOP_MULT_ADD                 = 4,
1873   MATOP_MULT_TRANSPOSE           = 5,
1874   MATOP_MULT_TRANSPOSE_ADD       = 6,
1875   MATOP_SOLVE                    = 7,
1876   MATOP_SOLVE_ADD                = 8,
1877   MATOP_SOLVE_TRANSPOSE          = 9,
1878   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1879   MATOP_LUFACTOR                 = 11,
1880   MATOP_CHOLESKYFACTOR           = 12,
1881   MATOP_SOR                      = 13,
1882   MATOP_TRANSPOSE                = 14,
1883   MATOP_GETINFO                  = 15,
1884   MATOP_EQUAL                    = 16,
1885   MATOP_GET_DIAGONAL             = 17,
1886   MATOP_DIAGONAL_SCALE           = 18,
1887   MATOP_NORM                     = 19,
1888   MATOP_ASSEMBLY_BEGIN           = 20,
1889   MATOP_ASSEMBLY_END             = 21,
1890   MATOP_SET_OPTION               = 22,
1891   MATOP_ZERO_ENTRIES             = 23,
1892   MATOP_ZERO_ROWS                = 24,
1893   MATOP_LUFACTOR_SYMBOLIC        = 25,
1894   MATOP_LUFACTOR_NUMERIC         = 26,
1895   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1896   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1897   MATOP_SETUP                    = 29,
1898   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1899   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1900   MATOP_GET_DIAGONAL_BLOCK       = 32,
1901   MATOP_SET_INF                  = 33,
1902   MATOP_DUPLICATE                = 34,
1903   MATOP_FORWARD_SOLVE            = 35,
1904   MATOP_BACKWARD_SOLVE           = 36,
1905   MATOP_ILUFACTOR                = 37,
1906   MATOP_ICCFACTOR                = 38,
1907   MATOP_AXPY                     = 39,
1908   MATOP_CREATE_SUBMATRICES       = 40,
1909   MATOP_INCREASE_OVERLAP         = 41,
1910   MATOP_GET_VALUES               = 42,
1911   MATOP_COPY                     = 43,
1912   MATOP_GET_ROW_MAX              = 44,
1913   MATOP_SCALE                    = 45,
1914   MATOP_SHIFT                    = 46,
1915   MATOP_DIAGONAL_SET             = 47,
1916   MATOP_ZERO_ROWS_COLUMNS        = 48,
1917   MATOP_SET_RANDOM               = 49,
1918   MATOP_GET_ROW_IJ               = 50,
1919   MATOP_RESTORE_ROW_IJ           = 51,
1920   MATOP_GET_COLUMN_IJ            = 52,
1921   MATOP_RESTORE_COLUMN_IJ        = 53,
1922   MATOP_FDCOLORING_CREATE        = 54,
1923   MATOP_COLORING_PATCH           = 55,
1924   MATOP_SET_UNFACTORED           = 56,
1925   MATOP_PERMUTE                  = 57,
1926   MATOP_SET_VALUES_BLOCKED       = 58,
1927   MATOP_CREATE_SUBMATRIX         = 59,
1928   MATOP_DESTROY                  = 60,
1929   MATOP_VIEW                     = 61,
1930   MATOP_CONVERT_FROM             = 62,
1931   /* MATOP_PLACEHOLDER_63=63 */
1932   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1933   MATOP_MATMAT_MULT_NUMERIC     = 65,
1934   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1935   MATOP_SET_VALUES_LOCAL        = 67,
1936   MATOP_ZERO_ROWS_LOCAL         = 68,
1937   MATOP_GET_ROW_MAX_ABS         = 69,
1938   MATOP_GET_ROW_MIN_ABS         = 70,
1939   MATOP_CONVERT                 = 71,
1940   MATOP_HAS_OPERATION           = 72,
1941   /* MATOP_PLACEHOLDER_73=73, */
1942   MATOP_SET_VALUES_ADIFOR = 74,
1943   MATOP_FD_COLORING_APPLY = 75,
1944   MATOP_SET_FROM_OPTIONS  = 76,
1945   /* MATOP_PLACEHOLDER_77=77, */
1946   /* MATOP_PLACEHOLDER_78=78, */
1947   MATOP_FIND_ZERO_DIAGONALS       = 79,
1948   MATOP_MULT_MULTIPLE             = 80,
1949   MATOP_SOLVE_MULTIPLE            = 81,
1950   MATOP_GET_INERTIA               = 82,
1951   MATOP_LOAD                      = 83,
1952   MATOP_IS_SYMMETRIC              = 84,
1953   MATOP_IS_HERMITIAN              = 85,
1954   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1955   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1956   MATOP_CREATE_VECS               = 88,
1957   /* MATOP_PLACEHOLDER_89=89, */
1958   MATOP_MAT_MULT_SYMBOLIC = 90,
1959   MATOP_MAT_MULT_NUMERIC  = 91,
1960   /* MATOP_PLACEHOLDER_92=92, */
1961   MATOP_PTAP_SYMBOLIC = 93,
1962   MATOP_PTAP_NUMERIC  = 94,
1963   /* MATOP_PLACEHOLDER_95=95, */
1964   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1965   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1966   MATOP_BIND_TO_CPU              = 98,
1967   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1968   MATOP_PRODUCTSYMBOLIC          = 100,
1969   MATOP_PRODUCTNUMERIC           = 101,
1970   MATOP_CONJUGATE                = 102,
1971   MATOP_VIEW_NATIVE              = 103,
1972   MATOP_SET_VALUES_ROW           = 104,
1973   MATOP_REAL_PART                = 105,
1974   MATOP_IMAGINARY_PART           = 106,
1975   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1976   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1977   MATOP_MAT_SOLVE                = 109,
1978   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1979   MATOP_GET_ROW_MIN              = 111,
1980   MATOP_GET_COLUMN_VECTOR        = 112,
1981   MATOP_MISSING_DIAGONAL         = 113,
1982   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1983   MATOP_CREATE                   = 115,
1984   MATOP_GET_GHOSTS               = 116,
1985   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1986   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1987   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1988   MATOP_HERMITIAN_TRANSPOSE      = 120,
1989   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1990   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1991   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1992   MATOP_FIND_NONZERO_ROWS        = 124,
1993   MATOP_GET_COLUMN_NORMS         = 125,
1994   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1995   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1996   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1997   MATOP_SET_VALUES_BATCH         = 129,
1998   /* MATOP_PLACEHOLDER_130=130, */
1999   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
2000   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
2001   MATOP_TRANSPOSE_COLORING_CREAT = 133,
2002   MATOP_TRANS_COLORING_APPLY_SPT = 134,
2003   MATOP_TRANS_COLORING_APPLY_DEN = 135,
2004   /* MATOP_PLACEHOLDER_136=136, */
2005   MATOP_RART_SYMBOLIC         = 137,
2006   MATOP_RART_NUMERIC          = 138,
2007   MATOP_SET_BLOCK_SIZES       = 139,
2008   MATOP_AYPX                  = 140,
2009   MATOP_RESIDUAL              = 141,
2010   MATOP_FDCOLORING_SETUP      = 142,
2011   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
2012   MATOP_MPICONCATENATESEQ     = 144,
2013   MATOP_DESTROYSUBMATRICES    = 145,
2014   MATOP_TRANSPOSE_SOLVE       = 146,
2015   MATOP_GET_VALUES_LOCAL      = 147
2016 } MatOperation;
2017 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2018 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2019 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2020 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2021 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2022 {
2023   return MatProductClear(A);
2024 }
2025 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2026 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2027 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2028 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
2029 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2030 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2031 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2032 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2033 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2034 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2035 
2036 /*
2037    Codes for matrices stored on disk. By default they are
2038    stored in a universal format. By changing the format with
2039    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2040    be stored in a way natural for the matrix, for example dense matrices
2041    would be stored as dense. Matrices stored this way may only be
2042    read into matrices of the same type.
2043 */
2044 #define MATRIX_BINARY_FORMAT_DENSE -1
2045 
2046 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2047 
2048 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2049 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2050 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2051 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2052 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2053 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2054 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2055 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2056 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatConvert()", ) PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
2057 
2058 /*S
2059    MatNullSpace - Object that removes a null space from a vector, i.e.
2060                   orthogonalizes the vector to a subspace
2061 
2062    Level: advanced
2063 
2064 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2065 S*/
2066 typedef struct _p_MatNullSpace *MatNullSpace;
2067 
2068 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2069 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
2070 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2071 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2072 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2073 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2074 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2075 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2076 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2077 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2078 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2079 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2080 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2081 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2082 
2083 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2084 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2085 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2086 
2087 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2088 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2089 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2090 
2091 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2092 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2093 
2094 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2095 {
2096   return MatComputeOperator(A, PETSC_NULLPTR, B);
2097 }
2098 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2099 {
2100   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2101 }
2102 
2103 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2104 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2105 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2106 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2107 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2108 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2109 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2110 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2111 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2112 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2113 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2114 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2115 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2116 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2117 
2118 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2119 
2120 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2121 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2122 
2123 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2124 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2125 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2126 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2127 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2128 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2129 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2130 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2131 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2132 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2133 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2134 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2135 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2136 
2137 /*S
2138     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2139               Jacobian vector products
2140 
2141     Level: developer
2142 
2143     Notes:
2144     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2145 
2146      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2147 
2148     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2149 
2150 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2151           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2152 S*/
2153 typedef struct _p_MatMFFD *MatMFFD;
2154 
2155 /*J
2156    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2157 
2158    Values:
2159 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2160 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2161 
2162    Level: beginner
2163 
2164 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2165 J*/
2166 typedef const char *MatMFFDType;
2167 #define MATMFFD_DS "ds"
2168 #define MATMFFD_WP "wp"
2169 
2170 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2171 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2172 
2173 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2174 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2175 
2176 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2177 
2178 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2179 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2180 
2181 #ifdef PETSC_HAVE_H2OPUS
2182 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2183 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2184 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2185 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2186 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2187 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2188 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2189 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2190 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2191 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2192 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2193 #endif
2194 
2195 #ifdef PETSC_HAVE_HTOOL
2196 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2197 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2198 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2199 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2200 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2201 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2202 
2203 /*E
2204    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2205 
2206    Values:
2207 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2208 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2209 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2210 
2211    Level: intermediate
2212 
2213 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2214 E*/
2215 typedef enum {
2216   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2217   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2218   MAT_HTOOL_COMPRESSOR_SVD
2219 } MatHtoolCompressorType;
2220 
2221 /*E
2222    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2223 
2224    Values:
2225 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2226 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2227 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2228 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2229 
2230    Level: intermediate
2231 
2232    Note:
2233    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2234 
2235 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2236 E*/
2237 typedef enum {
2238   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2239   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2240   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2241   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2242 } MatHtoolClusteringType;
2243 #endif
2244 
2245 #ifdef PETSC_HAVE_MUMPS
2246 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2247 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2248 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2249 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2250 
2251 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2252 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2253 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2254 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2255 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2256 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2257 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2258 #endif
2259 
2260 #ifdef PETSC_HAVE_MKL_PARDISO
2261 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2262 #endif
2263 
2264 #ifdef PETSC_HAVE_MKL_CPARDISO
2265 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2266 #endif
2267 
2268 #ifdef PETSC_HAVE_SUPERLU
2269 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2270 #endif
2271 
2272 #ifdef PETSC_HAVE_SUPERLU_DIST
2273 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2274 #endif
2275 
2276 #ifdef PETSC_HAVE_STRUMPACK
2277 /*E
2278     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2279 
2280     Values:
2281 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2282 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2283 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2284 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2285 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2286 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2287 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2288 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2289 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2290 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2291 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2292 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2293 
2294     Level: intermediate
2295 
2296     Developer Note:
2297     Should be called `MatSTRUMPACKReorderingType`
2298 
2299 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2300 E*/
2301 typedef enum {
2302   MAT_STRUMPACK_NATURAL,
2303   MAT_STRUMPACK_METIS,
2304   MAT_STRUMPACK_PARMETIS,
2305   MAT_STRUMPACK_SCOTCH,
2306   MAT_STRUMPACK_PTSCOTCH,
2307   MAT_STRUMPACK_RCM,
2308   MAT_STRUMPACK_GEOMETRIC,
2309   MAT_STRUMPACK_AMD,
2310   MAT_STRUMPACK_MMD,
2311   MAT_STRUMPACK_AND,
2312   MAT_STRUMPACK_MLF,
2313   MAT_STRUMPACK_SPECTRAL
2314 } MatSTRUMPACKReordering;
2315 
2316 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2317 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2318 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2319 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2320 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2321 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2322 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2323 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2324 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2325 
2326 /*E
2327     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2328 
2329     Values:
2330 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2331 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2332 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2333 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2334 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2335 .  `MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR` - hybrid of lossy (ZFP), BLR and HODLR (requires ButterfyPACK and ZFP support, configure with --download-butterflypack --download-zfp)
2336 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2337 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2338 
2339     Level: intermediate
2340 
2341 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2342 E*/
2343 typedef enum {
2344   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2345   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2346   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2347   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2348   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2349   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2350   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2351   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2352 } MatSTRUMPACKCompressionType;
2353 
2354 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2355 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2356 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2357 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2358 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2359 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2360 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2361 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2362 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2363 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2364 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2365 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2366 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2367 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2368 #endif
2369 
2370 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2371 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2372 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2373 {
2374   return MatBindToCPU(A, flg);
2375 }
2376 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2377 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2378 
2379 #ifdef PETSC_HAVE_CUDA
2380 /*E
2381     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2382     matrices.
2383 
2384     Values:
2385 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2386 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2387 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2388 
2389     Level: intermediate
2390 
2391 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2392 E*/
2393 
2394 typedef enum {
2395   MAT_CUSPARSE_CSR,
2396   MAT_CUSPARSE_ELL,
2397   MAT_CUSPARSE_HYB
2398 } MatCUSPARSEStorageFormat;
2399 
2400 /* these will be strings associated with enumerated type defined above */
2401 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2402 
2403 /*E
2404     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2405     matrices whose operation should use a particular storage format.
2406 
2407     Values:
2408 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2409 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2410 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2411 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2412 
2413     Level: intermediate
2414 
2415 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2416 E*/
2417 typedef enum {
2418   MAT_CUSPARSE_MULT_DIAG,
2419   MAT_CUSPARSE_MULT_OFFDIAG,
2420   MAT_CUSPARSE_MULT,
2421   MAT_CUSPARSE_ALL
2422 } MatCUSPARSEFormatOperation;
2423 
2424 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2425 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2426 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2427 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2428 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2429 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2430 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2431 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2432 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2433 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2434 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2435 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2436 
2437 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2438 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2439 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2440 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2441 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2442 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2443 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2444 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2445 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2446 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2447 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2448 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2449 
2450 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2451 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2452 #endif
2453 
2454 #ifdef PETSC_HAVE_HIP
2455 /*E
2456     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2457     matrices.
2458 
2459     Values:
2460 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2461 .   `MAT_HIPSPARSE_ELL` - Ellpack
2462 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2463 
2464     Level: intermediate
2465 
2466 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2467 E*/
2468 
2469 typedef enum {
2470   MAT_HIPSPARSE_CSR,
2471   MAT_HIPSPARSE_ELL,
2472   MAT_HIPSPARSE_HYB
2473 } MatHIPSPARSEStorageFormat;
2474 
2475 /* these will be strings associated with enumerated type defined above */
2476 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2477 
2478 /*E
2479     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2480     matrices whose operation should use a particular storage format.
2481 
2482     Values:
2483 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2484 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2485 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2486 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2487 
2488     Level: intermediate
2489 
2490 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2491 E*/
2492 typedef enum {
2493   MAT_HIPSPARSE_MULT_DIAG,
2494   MAT_HIPSPARSE_MULT_OFFDIAG,
2495   MAT_HIPSPARSE_MULT,
2496   MAT_HIPSPARSE_ALL
2497 } MatHIPSPARSEFormatOperation;
2498 
2499 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2500 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2501 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2502 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2503 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2504 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2505 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2506 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2507 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2508 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2509 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2510 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2511 
2512 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2513 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2514 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2515 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2516 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2517 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2518 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2519 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2520 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2521 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2522 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2523 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2524 #endif
2525 
2526 #if defined(PETSC_HAVE_VIENNACL)
2527 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2528 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2529 #endif
2530 
2531 #if PetscDefined(HAVE_KOKKOS)
2532 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2533 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2534 #endif
2535 
2536 #if defined(PETSC_HAVE_FFTW)
2537 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2538 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2539 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2540 #endif
2541 
2542 #if defined(PETSC_HAVE_SCALAPACK)
2543 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2544 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2545 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2546 #endif
2547 
2548 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2549 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2550 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2551 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2552 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2553 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2554 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2555 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2556 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2557 
2558 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2559 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2560 {
2561   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2562 }
2563 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2564 
2565 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2566 
2567 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2568 
2569 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2570 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2571 
2572 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2573 
2574 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2575 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2576 
2577 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2578 
2579 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2580 #define PETSCBMHPL "hpl"
2581